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  3. Physics
  4. The number of turns in the coil of an A.C. generator are 100 and its cross-sectional area is 2.5 m 2. The coil is revolving in a uniform magnetic field of strength 0.3 T with the uniform angular velocity of 60 rad / s. The value of maximum value produced is kV.

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Q. The number of turns in the coil of an A.C. generator are $100$ and its cross-sectional area is $2.5\, m ^{2}$. The coil is revolving in a uniform magnetic field of strength $0.3 \,T$ with the uniform angular velocity of $60\, rad / s$. The value of maximum value produced is _____ $kV$.

Gujarat CETGujarat CET 2017

Solution:

Induced emf $e= NBA \omega \sin \omega t$
for $e_{\text {max }} \sin \omega t=1$
So $e_{\text {max }}= NBA \omega$
putting values
$e_{\text {max }}=4.5 \times 10^{3} volt $
$e_{\text {max }}=4.5\, kV$